Problem 2 (12.5 pts, 20 minutes)\ A liquid phase irreversible reaction:

UlongrightarrowP

, takes place in a CSTR of volume

Vr

. The reactor is initially empty. At

t=0

, a solution with no reactant flows into the reactor at a constant volumetric flow rate of Fin. No liquid leaves the reactor until the liquid volume reaches a value of

Vr

(i.e. when reactor is full). When the reactor becomes full at

V_(r)

, the exit stream is opened and steady state flow starts at the same time the reactant

U

is injected to the CSTR and the

1^(st )

order reaction

R=k^(**)Cu_(U)

starts. Assume the reaction takes place under isothermal conditions, with constant thermal and physical properties.\ Sketch and label the system. 1 pt.\ Derive the relationship for the concentration of species

U

within the reactor as a function of time.

10pts

\ Specify the steady state concentration of species

U.1.5

pts

A liquid phase irreversible reaction: UP, takes place in a CSTR of volume Vr. The reactor is initially empty. At t=0, a solution with no reactant flows into the reactor at a constant volumetric flow rate of Fin. No liquid leaves the reactor until the liquid volume reaches a value of Vr (i.e. when reactor is full). When the reactor becomes full at Vr, the exit stream is opened and steady state flow starts at the same time the reactant U is injected to the CSTR and the 1st order reaction R=kCuU starts. Assume the reaction takes place under isothermal conditions, with constant thermal and physical properties. 1. Sketch and label the system. 1 pt. 2. Derive the relationship for the concentration of species U within the reactor as a function of time. 10 pts 3. Specify the steady state concentration of species U1.5 pts